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1,010,768

1,010,768 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,010,768 (one million ten thousand seven hundred sixty-eight) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 11 × 5,743. Its proper divisors sum to 1,126,000, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6C50.

Abundant Number Evil Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
8,670,101
Recamán's sequence
a(360,599) = 1,010,768
Square (n²)
1,021,651,949,824
Cube (n³)
1,032,653,098,019,704,832
Divisor count
20
σ(n) — sum of divisors
2,136,768
φ(n) — Euler's totient
459,360
Sum of prime factors
5,762

Primality

Prime factorization: 2 4 × 11 × 5743

Nearest primes: 1,010,767 (−1) · 1,010,771 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 11 · 16 · 22 · 44 · 88 · 176 · 5743 · 11486 · 22972 · 45944 · 63173 · 91888 · 126346 · 252692 · 505384 (half) · 1010768
Aliquot sum (sum of proper divisors): 1,126,000
Factor pairs (a × b = 1,010,768)
1 × 1010768
2 × 505384
4 × 252692
8 × 126346
11 × 91888
16 × 63173
22 × 45944
44 × 22972
88 × 11486
176 × 5743
First multiples
1,010,768 · 2,021,536 (double) · 3,032,304 · 4,043,072 · 5,053,840 · 6,064,608 · 7,075,376 · 8,086,144 · 9,096,912 · 10,107,680

Sums & aliquot sequence

As consecutive integers: 91,883 + 91,884 + … + 91,893 31,571 + 31,572 + … + 31,602 2,696 + 2,697 + … + 3,047
Aliquot sequence: 1,010,768 1,126,000 1,601,504 1,551,520 2,114,324 2,011,756 1,549,004 1,323,796 1,007,456 1,081,624 985,496 902,344 803,156 602,374 304,826 155,578 80,294 — unresolved within range

Continued fraction of √n

√1,010,768 = [1005; (2, 1, 2, 2, 1, 1, 24, 1, 6, 2, 3, 6, 1, 2, 45, 2, 1, 6, 3, 2, 6, 1, 24, 1, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one million ten thousand seven hundred sixty-eight
Ordinal
1010768th
Binary
11110110110001010000
Octal
3666120
Hexadecimal
0xF6C50
Base64
D2xQ
One's complement
4,293,956,527 (32-bit)
Scientific notation
1.010768 × 10⁶
As a duration
1,010,768 s = 11 days, 16 hours, 46 minutes, 8 seconds
In other bases
ternary (3) 1220100111212
quaternary (4) 3312301100
quinary (5) 224321033
senary (6) 33355252
septenary (7) 11406563
nonary (9) 1810455
undecimal (11) 630450
duodecimal (12) 408b28
tridecimal (13) 2950b5
tetradecimal (14) 1c44da
pentadecimal (15) 14e748

As an angle

1,010,768° = 2,807 × 360° + 248°
248° ≈ 4.328 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬零七百六十八
Chinese (financial)
壹佰零壹萬零柒佰陸拾捌
In other modern scripts
Eastern Arabic ١٠١٠٧٦٨ Devanagari १०१०७६८ Bengali ১০১০৭৬৮ Tamil ௧௦௧௦௭௬௮ Thai ๑๐๑๐๗๖๘ Tibetan ༡༠༡༠༧༦༨ Khmer ១០១០៧៦៨ Lao ໑໐໑໐໗໖໘ Burmese ၁၀၁၀၇၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010768, here are decompositions:

  • 19 + 1010749 = 1010768
  • 97 + 1010671 = 1010768
  • 151 + 1010617 = 1010768
  • 277 + 1010491 = 1010768
  • 307 + 1010461 = 1010768
  • 337 + 1010431 = 1010768
  • 349 + 1010419 = 1010768
  • 439 + 1010329 = 1010768

Showing the first eight; more decompositions exist.

Hex color
#0F6C50
RGB(15, 108, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.108.80.

Address
0.15.108.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.108.80

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 0768 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 0768-10-01 (MMDYYYY (US, single-digit day))
  • 0768-01-10 (DDMYYYY (Euro, single-digit month))
Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,010,768 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.